Answer:
answer is 3.144
Step-by-step explanation:
Answer:
The minor arc HK is 60 degrees
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The inscribed angle is half that of the arc it comprises.
so
we have
substitute the given value
Remember that the measure of the minor arc must be less than 180 degrees
therefore
The minor arc HK is 60 degrees
Answer:
Z=2.36
P=0.0091
Step-by-step explanation:
The hypothesis is:
π > 0.55 which is the population proportion
The formula to get the test statistic is
Zstat = P-π/√π(1-π)/n
P =507.4/860 = 0.59 (sample proportion )
n =860 (sample size)
π =0.55(population porportion)
Zstat = 0.59-0.55/√0.55(1-0.55)/860
Zstat =2.36
From Z table the probability of Z score of 2.36 is 0.9909
To calculate for P- value will then be
P= 1 - 0.9909
P= 0.0091
<span>The exact solution of cos (17</span>π<span>/6) is as follows:
First change the angle into degrees.
17(</span>π/6) (180°/π) = 510°
Then we calculate the cosine of the angle above and it as follows:
cos 510° = -(√3)/2
Hope this answers the question. Have a nice day.
Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.
PR =
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.